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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 27 — Sep. 20, 2010
  • pp: 5103–5109

Determination of linear displacement by envelope detection with maximum likelihood estimation

Kuo-Chen Lang and Hui-Kang Teng  »View Author Affiliations

Applied Optics, Vol. 49, Issue 27, pp. 5103-5109 (2010)

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We demonstrate in this report an envelope detection technique with maximum likelihood estimation in a least square sense for determining displacement. This technique is achieved by sampling the amplitudes of quadrature signals resulted from a heterodyne interferometer so that the resolution of displacement measurement of the order of λ / 10 4 is experimentally verified. A phase unwrapping procedure is also described and experimentally demonstrated and indicates that the unambiguity range of displacement can be measured beyond a single wavelength.

© 2010 Optical Society of America

OCIS Codes
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: May 14, 2010
Revised Manuscript: August 11, 2010
Manuscript Accepted: August 13, 2010
Published: September 15, 2010

Kuo-Chen Lang and Hui-Kang Teng, "Determination of linear displacement by envelope detection with maximum likelihood estimation," Appl. Opt. 49, 5103-5109 (2010)

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